Free Printable 011 Final Review

1.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

2.

What letter is located at (8, 5)?

a)

A

b)

B

c)

C

d)

D

3.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

4.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

5.

a)

Infinitely Many Solutions

b)

No Solution

6.

What is the y-intercept in the equation?
y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

7.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

8.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

9.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

10.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

11.

what is the first step in the substitution method?

a)

Step 2

b)

isolate one of the variables in one of the equations

c)

substitute in the value of the isolated variable into the other equation

12.

To Find the solution to this system of equations, Juan decided to multiply the entire first equation by -1. What method is Juan employing to find the solution?

a)

Substitution

b)

Graphing

c)

No Solution

d)

Elimination

13.

To find the solution to the system of equations Tandy looked for opposites to zero each other out. What variable contains opposite coefficients and which method is Tandy using?

a)

The x-variables are opposites, and Tandy is using Elimination.

b)

The x-variables are opposites, and Tandy is using Substitution.

c)

The y-variables are opposites, and Tandy is using Elimination.

d)

The y-variables are opposites, and Tandy is using Substitution.

14.

AJ was asked to find the solution to this system of equations.

x = 7 - 2y

2x + y = 5

Noticing that x was isolated and set equal to

7 - 2y, he decided to replace x in the second equation with its value.

What method is AJ using and what equation did he write?

a)

Elimination; 2(7-2y) + y = 5

b)

Graphing; 2x = (7-2y) + y = 5

c)

Substitution; 2(7-2y) + y = 5

d)

Substitution; x = 7 - 2y + 2x + y = 5

15.

Does the point (4, 11) lie on the line,

y = 8 + x?

a)

Yes

b)

No

16.

State the restrictions on the variable.
$\frac{4}{x-5}$ .

a)

x cannot be 4

b)

x cannot be 5

c)

x cannot be -4

d)

x cannot be -5

17.

Factor:

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

18.

State the restrictions on the variable
$\frac{3x-2}{x^2-2x-3}$

a)

no restrictions

b)

$x\ne\frac{2}{3}$

c)

$x\ne-3,\ 1$

d)

$x\ne-1,\ 3$

19.

Simplify $\frac{x^2-16x+63}{x^2-49}$

a)

$\frac{-16x+63}{-49}$

b)

$\frac{x-9}{x+7}$

c)

$\frac{\left(x-9\right)}{\left(x-7\right)}$

d)

can't be simplified

20.

Find the LCD of the following rational expressions
$\frac{2x}{x+1}$ and $\frac{1}{x^2-1}$

a)

(x+1)(x-1)

b)

(x+1)² (x-1)

c)

(2x+2)

d)

(x+1)

21.

Find the least common denominator of the expression

a)

18

b)

6x

c)

3xy

d)

6xy

22.

For what value of x will the expression

\frac{x+2}{2x+4}

be undefined?

a)

-1/2

b)

-1

c)

-2

d)

-4

23.

Subtract

$\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}$

a)

$\frac{-2x-10}{3x+4}\ ,\ -\frac{4}{3}$

b)

$\frac{-2x}{3x+4}\ ,\ x\ne-\frac{4}{3}$

c)

$-2x\ ,\ x\ne0$

d)

$-2x-10\ ,\ x\ne0$

24.

Julie has factored the numerators and denominators and multiplied by the reciprocal (keep it, flip it, multiply it). She must be…

a)

Adding or Subtracting Rational Expressions

b)

Multiplying Rational Expressions

c)

Dividing Rational Expressions

25.

Simplify

\frac{\frac{x}{25}+\frac{x}{5}}{\frac{5}{x}}

a)

$\frac{25x^2}{400+4x}$

b)

$\frac{6x^2}{125}$

c)

$\frac{400x}{x^3-16}$

d)

$\frac{x^2+x^3}{625}$

26.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

27.

(2x³ + 7x² - 6x - 8) ÷ (x+ 4)

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

28.

A polynomial that contains only 1 term is called a _________________.

a)

binomial

b)

monomial

c)

trinomial

d)

uninomial

29.

A polynomial that contains 2 terms is called a ___________________.

a)

binomial

b)

monomial

c)

trinomial

d)

duonomial

30.

The polynomial 8x³y² + 14x²y² + 3xy contains _____ term/s; therefore, it is called a ___________________.

a)

1 ; monomial

b)

2 ; binomial

c)

3 ; trinomial

31.

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

a)

-3x² - 15x + 19

b)

21x² - 15x - 3

c)

-3x² - 15x - 3

d)

-3x² + x + 19

32.

Simplify: (2x + y)(2x - y)

a)

4x² - y²

b)

4x - y

c)

4x² + y²

d)

2x² - y²

33.

Simplify: (x + 1) (x²- 2x + 1)

a)

x³- x²-x + 1

b)

x³- 2x + 2

c)

x³+ x²+ x + 1

d)

x³- 3x²- 3x + 1

34.

Simplify √24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

35.

Evaluate √1

a)

4

b)

1

c)

6

d)

no solution

36.

Evaluate ∛8

a)

2

b)

-2

c)

±2

d)

None

37.

In simplest radical form, √30 is equivalent to:

a)

5√3

b)

√30

c)

√3

d)

3√5

38.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

39.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

40.

Simplify completely: $\sqrt{6}\cdot\sqrt{6}$

a)

√36

b)

2√3

c)

12

d)

6

41.

Simplify:

a)

$\sqrt{12}$

b)

$\frac{4\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$\frac{2\sqrt{3}}{3}$

42.

Simplify $\sqrt{8}-6\sqrt{2}$

a)

$-4\sqrt{2}$

b)

$2\sqrt{2}$

c)

$-6\sqrt{6}$

d)

$-6\sqrt{10}$

43.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

44.

Solve the radical equation

a)

25

b)

50

c)

125

d)

5

45.

Solve

a)

102

b)

12

c)

98

d)

7

011 Final Review

Total questions: 45

Worksheet time: 2hrs 27mins

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